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Q.

The number of ways in which 10 letters can be posted in five letter boxes is

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a

_{$^{10} C_{5}$}

b

_$10^{5}$

c

_{$^{10} P_{5}$}

d

_$5^{10}$

answer is C.

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Detailed Solution

Each letter can be posted in 5ways and the 10 letters can be posted in $5 \times 5 \times . . . . . . . . \times 5$ (10 times)

The number of ways = $5^{10}$

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The number of ways in which 10 letters can be posted in five letter boxes is